Universal effects of collective interactions on long-time self-diffusion coefficients in hard-sphere systems

Michio Tokuyama, Hiroyuki Yamazaki, Yayoi Terada

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We investigate how universal the collective behavior, due to the many-body interactions in polydisperse hard-sphere systems, is at higher volume fractions. We perform two types of computer simulations, a Brownian-dynamics simulation on colloidal suspensions of hard spheres, where the hydrodynamic interactions between particles are neglected, and a molecular-dynamic simulation on atomic systems of hard spheres. Thus, we show that the long-time self-diffusion coefficients DSL in both systems become singular as D SL(φ)̃(1-φ/φc)2 because of the collective interactions due to the many-body collision processes, where φ is a particle volume fraction and φc≃0.586 for 6% polydispersity. Although DSL exhibits the same singular behavior as that obtained theoretically for the monodisperse suspension with the hydrodynamic interactions, no liquid-glass transition is found because even the polydisperse hard-sphere systems crystallize without the hydrodynamic interactions for all φ above the melting volume fraction, which is lower than φc.

Original languageEnglish
Pages (from-to)367-379
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume328
Issue number3-4
DOIs
Publication statusPublished - 2003 Oct 15

Keywords

  • Collective interactions
  • Hard-sphere systems
  • Long-time self-diffusion coefficient
  • Singular behavior

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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